Γ-limits of singular perturbation problems involving energies with non-local terms

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Abstract

We introduce a new method to reformulate certain classes of problems involving non-local terms as local problems. This allows us to apply the techniques developed in [24,25] to prove upper and lower bounds for problems arising in Micromagnetics and in the variational study of the Method of Vanishing Viscosity for systems of conservation laws.

Original languageAmerican English
Pages (from-to)1010-1050
Number of pages41
JournalJournal of Mathematical Analysis and Applications
Volume464
Issue number2
DOIs
StatePublished - 15 Aug 2018

Keywords

  • Gamma-limit
  • Non-locality
  • Singular perturbation functional

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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